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3 years ago

Write the equation of a line through points (5, 5) and (1, 0) in point-slope form

Mathematics

1 answer:

klasskru [66]3 years ago

3 0

Answer:

y=(5/4)x-5/4

Step-by-step explanation:

First we need to find the slope:

$\frac{y_{2}-y_{1} }{x_{2}-x_{1} }$

= $\frac{5-0}{5-1}$

=5/4

The SLops is 5/4

point-slope forum is

y=(5/4)x-5/4

(i think)

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What is 55 rounded by 2 of the nearest hundred

Lelu [443]

It would be 100. Because let's say you had to round 25 to the nearest 10 it would be 30 because everything ending with 5 (example: 5 to nearest 10 would go to 10 65 to the nearest ten would go to 70) but anything lower then 5 goes to the lower number.

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3 years ago

Read 2 more answers

I need help on 4,5,6, and 7.

levacccp [35]

Answer:

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3) 2 < x > 5

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5) -3 < m > -1

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3 years ago

A is the point (-2, 0) and B is the point (0, 4).Find the equation of the straight line joining A and B.

Rus_ich [418]

Answer:

y = 2*x + 4

Step-by-step explanation:

We know that a linear function can be written as:

y = a*x + b

Where a is the slope and b is the y-intercept.

We know that if this line passes through the points (x₁, y₁) and (x₂, y₂) the slope can be written as:

a = (y₂ - y₁)/(x₂ - x₁)

So, here we know that our line must pass through the points (-2,0) and (0, 4)

Then the slope of this line is:

a = (4 - 0)/(0 - (-2))

a = 4/2 = 2

Then our line is something like:

y = 2*x + b

Now, to find the value of b we can use one of these two points, for example if we use the point (-2, 0), we know that, when x = -2, we must have y = 0.

0 = 2*(-2) + b

0 = -4 + b

4 = b

Then the equation for our line is:

y = 2*x + 4

6 0

3 years ago

Drag the tiles to the correct boxes to complete the pairs. Not all tiles will be used. Match the linear equations with their x-

jolli1 [7]

Answer:

Part 1) $x-2y=2$ ----> (2,0) and (0,-1)

Part 2) $-3x+3y=7$ ----> (-7/3,0) and (0,7/3)

Part 3) $7x-y=21$ ----> (3,0) and (0,-21)

Part 4) $3x-5y=-20$ ----> (-20/3,0) and (0,4)

Step-by-step explanation:

we know that

The y-intercept is the value of y when the value of x is equal to zero

The x-intercept is the value of x when the value of y is equal to zero

Part 1) we have

$x-2y=2$

1) Find the x-intercept

For y=0

$x-2(0)=2\\x=2$

the x-intercept is (2,0)

2) Find the y-intercept

For x=0

$0-2y=2\\y=-1$

the y-intercept is (0,-1)

Part 2) we have

$-3x+3y=7$

1) Find the x-intercept

For y=0

$-3x+3(0)=7\\x=-\frac{7}{3}$

the x-intercept is (-7/3,0)

2) Find the y-intercept

For x=0

$-3(0)+3y=7\\y=\frac{7}{3}$

the y-intercept is (0,7/3)

Part 3) we have

$7x-y=21$

1) Find the x-intercept

For y=0

$7x-(0)=21\\x=3$

the x-intercept is (3,0)

2) Find the y-intercept

For x=0

$7(0)-y=21\\y=-21$

the y-intercept is (0,-21)

Part 4) we have

$3x-5y=-20$

1) Find the x-intercept

For y=0

$3x-5(0)=-20\\x=-\frac{20}{3}$

the x-intercept is (-20/3,0)

2) Find the y-intercept

For x=0

$3(0)-5y=-20\\y=4$

the y-intercept is (0,4)

8 0

3 years ago

How do you subtract rational expressions without a common denominator?

zubka84 [21]

You would have to make common denominators
consider a/b,c/d in Q
then a/b - c/d = ad/db - cb/bd = (ad-cb)/db for all a,b,c,d in R, exclude b,d=0
i.e. 1/2 - 1/4
=4/8 - 2/8 =(4-2)/8=2/8 =1/4

4 0

3 years ago